Prime Factorization for GCF and LCM

What is the greatest common factor (GCF) of 36 and 48, using prime factorization?

What is the least common multiple (LCM) of 12 and 18, found using prime factorization?

Which of the following is a prime factor?

When finding the LCM using prime factorization, what should be done for repeated prime factors in a column?

Which of the following is NOT a step in finding the GCF using prime factorization?

Prime Factorization Method for Finding GCF and LCM

Prime factorization is a technique used to find the greatest common factor (GCF) and least common multiple (LCM) of two or more numbers. It's particularly useful for larger numbers.
The prime factorization method decomposes each number into its prime factors, which are prime numbers that, when multiplied together, equal the original number.

Finding the GCF using Prime Factorization

Step 1: Determine the prime factorization of both numbers.
Step 2: Identify the common prime factors in both factorizations.
Step 3: Multiply the common prime factors to find the GCF.

Finding the LCM using Prime Factorization

Step 1: Determine the prime factorization of both numbers.
Step 2: List the prime factors of both numbers vertically, aligning common factors in columns.
Step 3: Write down one instance of each prime factor from each column, even if there are duplicates.
Step 4: Multiply the prime factors written down in Step 3 to obtain the LCM.

This quiz covers the prime factorization method for finding the greatest common factor (GCF) and least common multiple (LCM) of numbers. You will learn the step-by-step process for calculating these values using prime factors. Test your understanding of these concepts with this quiz.